Author
Alday, L
Bae, J
Journal title
Journal of High Energy Physics
DOI
10.1007/jhep11(2020)134
Issue
11
Volume
2020
Last updated
2024-02-17T15:27:04.367+00:00
Abstract
A classical result from analytic number theory by Rademacher gives an exact formula for the Fourier coefficients of modular forms of non-positive weight. We apply similar techniques to study the spectrum of two-dimensional unitary conformal field theories, with no extended chiral algebra and c > 1. By exploiting the full modular constraints of the partition function we propose an expression for the spectral density in terms of the light spectrum of the theory. The expression is given in terms of a Rademacher expansion, which converges for spin j ≠ 0. For a finite number of light operators the expression agrees with a variant of the Poincare construction developed by Maloney, Witten and Keller. With this framework we study the presence of negative density of states in the partition function dual to pure gravity, and propose a scenario to cure this negativity.
Symplectic ID
1146964
Favourite
Off
Publication type
Journal Article
Publication date
25 Nov 2020
Please contact us with feedback and comments about this page. Created on 27 Nov 2020 - 14:16.